Logistic Growth: When Growth Levels Off Worksheet with Answer Key

What's on the worksheet

1. For each logistic model, give the carrying capacity, the value at 0, and the halfway time (the input where the model is at half its carrying…
   P(t) = \dfrac{600}{1 + 5e^{-0.2t}}f(x) = \dfrac{42}{1 + 6e^{-2x}}Q(t) = \dfrac{1{,}200}{1 + e^{3 - 0.5t}}R(t) = \dfrac{90}{1 + 0.5e^{-t}}
2. A state forest can support about 720 wild turkeys.
3. White clover is spreading across a lawn of 800 square meters.
4. The graph shows a made-up logistic model $N
5. A town of 8,000 households starts curbside compost pickup.
6. Beavers are returning to a river valley that can support about 180 of them.